Computer Algebra in Scientific Computing

18th International Workshop, CASC 2016, Bucharest, Romania, September 19-23, 2016, Proceedings

AvVladimir P. Gerdt,Wolfram Koepf

Häftad, Engelska, 2016

Del 9890 i serien Lecture Notes in Computer Science

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Beskrivning

This book constitutes the proceedings of the 18th International Workshop on Computer Algebra in Scientific Computing, CASC 2016, held in Bucharest, Romania, in September 2016. They deal with cutting-edge research in all major disciplines of Computer Algebra.

Produktinformation

Utgivningsdatum:2016-09-09
Mått:155 x 235 x 29 mm
Vikt:791 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Computer Science
Antal sidor:513
Förlag:Springer International Publishing AG
ISBN:9783319456409

Utforska kategorier

Systemvetenskap och AI inom Data och IT
Programmeringsböcker inom Data och IT
Diskret matematik inom Naturvetenskap och teknik

Innehållsförteckning

On the Differential and Full Algebraic Complexities of Operator Matrices Transformations.- Resolving Decompositions for Polynomial Modules.- Setup of Order Conditions for Splitting Methods.- Symbolic Manipulation of Flows of Nonlinear Evolution Equations, with Application in the Analysis of Split-Step Time Integrators.- Improved Computation of Involutive Bases.- Computing all Space Curve Solutions of Polynomial Systems by Polyhedral Methods.- Algorithmic Computation of Polynomial Amoebas.- Sparse Gaussian Elimination Modulo p: an Update.- MathCheck2: A SAT+CAS Verifier for Combinatorial Conjectures.- Incompleteness, Undecidability and Automated Proofs (Invited Talk).- A Numerical Method for Computing Border Curves of Bi-Parametric Real Polynomial Systems and Applications.- The Complexity of Cylindrical Algebraic Decomposition with Respect to Polynomial Degree.- Efficient Simplification Techniques for Special Real Quantifier Elimination with Applications to the Synthesis of Optimal Numerical Algorithms.- Symbolic-Numeric Algorithms for Solving BVPs for a System of ODEs of the Second Order: Multichannel Scattering and Eigenvalue Problems.- Symbolic Algorithm for Generating Irreducible Rotational-Vibrational Bases of Point Groups.- A Symbolic Investigation of the Influence of Aerodynamic Forces on Satellite Equilibria.- Computer Algebra in High-Energy Physics (Invited Talk).- A Note on Dynamic Gröbner Bases Computation.- Qualitative Analysis of the Reyman-Semenov-Tian-Shansky Integrable Case of the Generalized Kowalewski Top.- On Multiple Eigenvalues of a Matrix Dependent on a Parameter.- A Generalised Branch-and-Bound Approach and its Application in SAT Modulo Nonlinear Integer Arithmetic.- Computing Characteristic Polynomials of Matrices of Structured Polynomials.- Computing Sparse Representations of Systems of Rational Fractions.- On the General Analytical Solution of the Kinematic Cosserat Equations.- Using Sparse Interpolation in Hensel Lifting.- A Surveyof Satisfiability Modulo Theory.- Quadric Arrangement in Classifying Rigid Motions of a 3D Digital Image.- A Lower Bound for Computing Lagrange's Real Root Bound.- Enhancing the Extended Hensel Construction by Using Gröbner Bases.- Symbolic-Numerical Optimization and Realization of the Method of Collocations and Least Residuals for Solving the Navier-Stokes Equations.- Pruning Algorithms for Pretropisms of Newton Polytopes.- Computational Aspects of a Bound of Lagrange.